Polynomial matrix formulation-based Capon beamformer

Alzin, Ahmed and Coutts, Fraser K. and Corr, Jamie and Weiss, Stephan and Proudler, Ian K. and Chambers, Jonathon A.; (2016) Polynomial matrix formulation-based Capon beamformer. In: 11th IMA International Conference on Mathematics in Signal Processing. Institute of Mathematics and its Applications, GBR.

[thumbnail of Alzin-etal-ICMSP2016-Polynomial-matrix-formulation-based-Capon-beamformer]
Preview
 Text. Filename: Alzin_etal_ICMSP2016_Polynomial_matrix_formulation_based_Capon_beamformer.pdf
Accepted Author Manuscript
Download (1MB)| Preview

Abstract

This paper demonstrates the ease with which broadband array problems can be generalised from their well-known, straightforward narrowband equivalents when using polynomial matrix formulations. This is here exemplified for the Capon beamformer, which presents a solution to the minimum variance distortionless response problem. Based on the space-time covariance matrix of the array and the definition of a broadband steering vector, we formulate a polynomial MVDR problem. Results from its solution in the polynomial matrix domain are presented.

ORCID iDs

Alzin, Ahmed ORCID logoORCID: https://orcid.org/0000-0001-8716-8233, Coutts, Fraser K. ORCID logoORCID: https://orcid.org/0000-0003-2299-2648, Corr, Jamie ORCID logoORCID: https://orcid.org/0000-0001-9900-0796, Weiss, Stephan ORCID logoORCID: https://orcid.org/0000-0002-3486-7206, Proudler, Ian K. and Chambers, Jonathon A.;
CORE (COnnecting REpositories)